16516 calls:
| 4.4s | (/ (* (* (* 3 3) 3) (* (* (* c c) c) (* (* a a) a))) (* (* (* 3 a) (* 3 a)) (* 3 a))) |
| 4.4s | (/ (* (* (* 3 3) 3) (* (* (* c a) (* c a)) (* c a))) (* (* (* 3 a) (* 3 a)) (* 3 a))) |
| 3.7s | (/ (* (* (* 3 3) 3) (* (* (* c a) (* c a)) (* c a))) (* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))))) |
| 3.4s | (/ (* (* (* 3 3) 3) (* (* (* c a) (* c a)) (* c a))) (* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))))) |
| 3.2s | (/ (* (* (* c c) c) (* (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (* 3 3) 3) (* (* a a) a))) |
| 72× | intervals |
| 9.5m | 82064× | body | 10240 | exit |
| 54.3s | 33153× | body | 1280 | valid |
| 25.4s | 198514× | body | 80 | valid |
| 24.3s | 24490× | body | 640 | valid |
| 20.1s | 150895× | body | 80 | nan |
| 13.9s | 24944× | body | 320 | valid |
| 12.9s | 34925× | body | 160 | valid |
| 10.3s | 154039× | pre | 80 | true |
| 3.3s | 3128× | body | 2560 | valid |
| 1.5s | 7711× | body | 160 | nan |
| 1.2s | 4173× | pre | 10240 | exit |
| 317.0ms | 227× | body | 5120 | valid |
427 calls:
| 2.2s | (- (log 2) (- (/ 3/32 (* (* x x) (* x x))) (log x))) |
| 870.0ms | (/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))) |
| 779.0ms | (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1))) |
| 665.0ms | (* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2)) R) |
| 662.0ms | (cbrt (/ (fma (sqrt (sqrt (fma -3 (* c a) (* b b)))) (sqrt (sqrt (fma -3 (* c a) (* b b)))) (- b)) (* 3 a))) |
Total 20.2b remaining (8.3%)
| 3.1b | 0% | Cubic critical, medium range |
| 2.6b | 73.7% | Quotient of products |
| 2.4b | 23.5% | Cubic critical, wide range |
| 1.9b | 91.9% | Cubic critical |
| 1.7b | 0% | Quadratic roots, wide range |
| 127× | rewrite-expression-head |
427 calls:
| 279.0ms | (/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))) |
| 277.0ms | (- (log 2) (- (/ 3/32 (* (* x x) (* x x))) (log x))) |
| 267.0ms | (* (- (/ 1 (/ (/ v (- 1 m)) m)) 1) m) |
| 187.0ms | (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) |
| 156.0ms | (* (- (/ m (/ v (- 1 m))) 1) m) |
| 7962× | *-un-lft-identity |
| 7416× | add-sqr-sqrt |
| 6869× | times-frac |
| 5095× | add-cube-cbrt |
| 2764× | add-exp-log |
| 2733× | prod-diff |
| 1398× | add-cbrt-cube |
| 1303× | pow1 |
| 1077× | sqrt-prod |
| 1070× | prod-exp |
| 965× | difference-of-squares |
| 949× | div-exp |
| 694× | pow-exp |
| 672× | distribute-lft-out |
| 671× | associate-*r* |
| 654× | cbrt-prod |
| 600× | add-log-exp |
| 595× | associate-*l* |
| 532× | distribute-lft-out-- |
| 446× | associate-/r* |
| 437× | expm1-log1p-u |
| 427× | log1p-expm1-u insert-posit16 |
| 394× | associate-/r/ |
| 389× | associate-/l* |
| 387× | div-inv |
| 354× | cbrt-unprod |
| 346× | pow-to-exp |
| 319× | distribute-rgt-in distribute-lft-in |
| 304× | frac-times |
| 301× | distribute-rgt-neg-in |
| 300× | fma-neg |
| 294× | cbrt-undiv |
| 270× | distribute-lft-neg-in |
| 242× | log-prod |
| 239× | flip-- |
| 238× | flip3-- |
| 234× | swap-sqr |
| 213× | pow-prod-down |
| 203× | unswap-sqr |
| 194× | difference-of-sqr-1 |
| 181× | associate-*l/ |
| 172× | associate-*r/ |
| 171× | pow-prod-up |
| 158× | flip-+ |
| 157× | flip3-+ |
| 149× | 1-exp |
| 147× | rec-exp |
| 142× | cbrt-div |
| 122× | fma-def |
| 109× | pow-sqr |
| 106× | tanh-def |
| 97× | pow-plus |
| 89× | neg-mul-1 *-commutative |
| 86× | sub-neg |
| 84× | frac-2neg clear-num log-pow |
| 75× | pow1/3 |
| 74× | fma-udef |
| 73× | sqrt-pow1 |
| 70× | pow2 |
| 67× | diff-log |
| 65× | tan-quot |
| 61× | pow1/2 |
| 53× | frac-sub associate-/l/ |
| 51× | unpow-prod-down |
| 50× | associate--l+ |
| 47× | exp-sum |
| 44× | pow-flip |
| 38× | associate--r+ |
| 37× | rem-sqrt-square |
| 34× | exp-prod |
| 33× | sin-sum |
| 29× | rem-log-exp cos-sum |
| 28× | sqrt-div |
| 26× | log-div |
| 24× | sum-log |
| 20× | inv-pow |
| 18× | +-commutative |
| 17× | div-sub |
| 13× | neg-sub0 |
| 11× | log1p-udef |
| 10× | log1p-expm1 pow3 neg-log |
| 9× | associate--l- pow-unpow |
| 8× | cos-mult |
| 7× | sqr-pow pow-pow rem-cbrt-cube acos-asin |
| 6× | associate-+l- rem-exp-log frac-add |
| 5× | associate--r- |
| 4× | expm1-udef exp-diff expm1-def |
| 3× | sqrt-unprod pow-div un-div-inv rem-square-sqrt sqr-cos |
| 2× | associate-+l+ expm1-log1p log-rec hypot-udef distribute-rgt-out-- cos-diff sin-mult |
| 1× | distribute-lft-neg-out distribute-frac-neg tanh-undef asin-acos acos-neg sin-diff unpow1/3 |